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Standard spines and 3-manifolds

  • Book
  • Apr 2007

Overview

Part of the book series: Publications of the Scuola Normale Superiore (PSNS)

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Keywords

  • calculus for compact 3-folds

About this book

In general the starting point of the definition and existence theorem of an invariant is a presentation of the objects in the class under consideration, and a calculus for this presentation. More precisely one has a class of concrete objects, a rule to associate a 3-manifold to each object, and a set of moves such that if two objects define the same 3-manifold then they are obtained from each other by a finite number of these moves. In this work I provide a calculus for compact 3-manifolds with boundary based on standard spines, and discuss related questions; in particular, I introduce a general framework for the definition of invariants based on this calculus.

Authors and Affiliations

  • Università di Pisa Dipto. Matematica, Pisa, Italy

    Carlo Petronio

Bibliographic Information

  • Book Title: Standard spines and 3-manifolds

  • Authors: Carlo Petronio

  • Series Title: Publications of the Scuola Normale Superiore

  • Publisher: Edizioni della Normale Pisa

  • Copyright Information: Edizioni della Normale 1995

  • Softcover ISBN: 978-88-7642-256-0Due: 01 October 1995

  • Series ISSN: 2239-1460

  • Series E-ISSN: 2532-1668

  • Edition Number: 1

  • Number of Pages: 61

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